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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_pairs.wasp
Title produced by softwareKendall tau Correlation Matrix
Date of computationFri, 23 Dec 2011 03:19:09 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/23/t1324628379pmj2yxtzm49jfu7.htm/, Retrieved Mon, 29 Apr 2024 19:57:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=160182, Retrieved Mon, 29 Apr 2024 19:57:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact118
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Kendall tau Correlation Matrix] [] [2010-12-05 18:04:16] [b98453cac15ba1066b407e146608df68]
- RMPD    [Kendall tau Correlation Matrix] [] [2011-12-23 08:19:09] [3542f7682a242002513e4b562d4475ed] [Current]
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Dataseries X:
210907	79	30	94	112285	144	145
120982	58	28	103	84786	103	101
176508	60	38	93	83123	98	98
179321	108	30	103	101193	135	132
123185	49	22	51	38361	61	60
52746	0	26	70	68504	39	38
385534	121	25	91	119182	150	144
33170	1	18	22	22807	5	5
101645	20	11	38	17140	28	28
149061	43	26	93	116174	84	84
165446	69	25	60	57635	80	79
237213	78	38	123	66198	130	127
173326	86	44	148	71701	82	78
133131	44	30	90	57793	60	60
258873	104	40	124	80444	131	131
180083	63	34	70	53855	84	84
324799	158	47	168	97668	140	133
230964	102	30	115	133824	151	150
236785	77	31	71	101481	91	91
135473	82	23	66	99645	138	132
202925	115	36	134	114789	150	136
215147	101	36	117	99052	124	124
344297	80	30	108	67654	119	118
153935	50	25	84	65553	73	70
132943	83	39	156	97500	110	107
174724	123	34	120	69112	123	119
174415	73	31	114	82753	90	89
225548	81	31	94	85323	116	112
223632	105	33	120	72654	113	108
124817	47	25	81	30727	56	52
221698	105	33	110	77873	115	112
210767	94	35	133	117478	119	116
170266	44	42	122	74007	129	123
260561	114	43	158	90183	127	125
84853	38	30	109	61542	27	27
294424	107	33	124	101494	175	162
101011	30	13	39	27570	35	32
215641	71	32	92	55813	64	64
325107	84	36	126	79215	96	92
7176	0	0	0	1423	0	0
167542	59	28	70	55461	84	83
106408	33	14	37	31081	41	41
96560	42	17	38	22996	47	47
265769	96	32	120	83122	126	120
269651	106	30	93	70106	105	105
149112	56	35	95	60578	80	79
175824	57	20	77	39992	70	65
152871	59	28	90	79892	73	70




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160182&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160182&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160182&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Correlations for all pairs of data series (method=kendall)
YX1X2X3X4X5X6
Y10.6360.4120.4420.4010.5790.58
X10.63610.460.520.5010.6740.673
X20.4120.4610.7280.3470.4420.441
X30.4420.520.72810.460.5280.524
X40.4010.5010.3470.4610.6320.631
X50.5790.6740.4420.5280.63210.984
X60.580.6730.4410.5240.6310.9841

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series (method=kendall) \tabularnewline
  & Y & X1 & X2 & X3 & X4 & X5 & X6 \tabularnewline
Y & 1 & 0.636 & 0.412 & 0.442 & 0.401 & 0.579 & 0.58 \tabularnewline
X1 & 0.636 & 1 & 0.46 & 0.52 & 0.501 & 0.674 & 0.673 \tabularnewline
X2 & 0.412 & 0.46 & 1 & 0.728 & 0.347 & 0.442 & 0.441 \tabularnewline
X3 & 0.442 & 0.52 & 0.728 & 1 & 0.46 & 0.528 & 0.524 \tabularnewline
X4 & 0.401 & 0.501 & 0.347 & 0.46 & 1 & 0.632 & 0.631 \tabularnewline
X5 & 0.579 & 0.674 & 0.442 & 0.528 & 0.632 & 1 & 0.984 \tabularnewline
X6 & 0.58 & 0.673 & 0.441 & 0.524 & 0.631 & 0.984 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160182&T=1

[TABLE]
[ROW][C]Correlations for all pairs of data series (method=kendall)[/C][/ROW]
[ROW][C] [/C][C]Y[/C][C]X1[/C][C]X2[/C][C]X3[/C][C]X4[/C][C]X5[/C][C]X6[/C][/ROW]
[ROW][C]Y[/C][C]1[/C][C]0.636[/C][C]0.412[/C][C]0.442[/C][C]0.401[/C][C]0.579[/C][C]0.58[/C][/ROW]
[ROW][C]X1[/C][C]0.636[/C][C]1[/C][C]0.46[/C][C]0.52[/C][C]0.501[/C][C]0.674[/C][C]0.673[/C][/ROW]
[ROW][C]X2[/C][C]0.412[/C][C]0.46[/C][C]1[/C][C]0.728[/C][C]0.347[/C][C]0.442[/C][C]0.441[/C][/ROW]
[ROW][C]X3[/C][C]0.442[/C][C]0.52[/C][C]0.728[/C][C]1[/C][C]0.46[/C][C]0.528[/C][C]0.524[/C][/ROW]
[ROW][C]X4[/C][C]0.401[/C][C]0.501[/C][C]0.347[/C][C]0.46[/C][C]1[/C][C]0.632[/C][C]0.631[/C][/ROW]
[ROW][C]X5[/C][C]0.579[/C][C]0.674[/C][C]0.442[/C][C]0.528[/C][C]0.632[/C][C]1[/C][C]0.984[/C][/ROW]
[ROW][C]X6[/C][C]0.58[/C][C]0.673[/C][C]0.441[/C][C]0.524[/C][C]0.631[/C][C]0.984[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160182&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160182&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Correlations for all pairs of data series (method=kendall)
YX1X2X3X4X5X6
Y10.6360.4120.4420.4010.5790.58
X10.63610.460.520.5010.6740.673
X20.4120.4610.7280.3470.4420.441
X30.4420.520.72810.460.5280.524
X40.4010.5010.3470.4610.6320.631
X50.5790.6740.4420.5280.63210.984
X60.580.6730.4410.5240.6310.9841







Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Y;X10.81180.8120.6359
p-value(0)(0)(0)
Y;X20.58360.58260.4124
p-value(0)(0)(0)
Y;X30.62370.60510.4425
p-value(0)(0)(0)
Y;X40.59480.56230.4007
p-value(0)(0)(0)
Y;X50.76690.75230.5789
p-value(0)(0)(0)
Y;X60.76890.75480.5796
p-value(0)(0)(0)
X1;X20.67530.61860.4602
p-value(0)(0)(0)
X1;X30.75710.71550.5201
p-value(0)(0)(0)
X1;X40.68790.67760.5009
p-value(0)(0)(0)
X1;X50.8560.84050.6744
p-value(0)(0)(0)
X1;X60.8530.84030.6732
p-value(0)(0)(0)
X2;X30.90360.87120.728
p-value(0)(0)(0)
X2;X40.6220.4790.3473
p-value(0)(6e-04)(6e-04)
X2;X50.66510.57660.4418
p-value(0)(0)(0)
X2;X60.66960.57160.4407
p-value(0)(0)(0)
X3;X40.69120.61710.4603
p-value(0)(0)(0)
X3;X50.7220.68160.528
p-value(0)(0)(0)
X3;X60.71710.67470.5242
p-value(0)(0)(0)
X4;X50.82440.81030.6323
p-value(0)(0)(0)
X4;X60.83030.81140.6311
p-value(0)(0)(0)
X5;X60.99770.99860.9844
p-value(0)(0)(0)

\begin{tabular}{lllllllll}
\hline
Correlations for all pairs of data series with p-values \tabularnewline
pair & Pearson r & Spearman rho & Kendall tau \tabularnewline
Y;X1 & 0.8118 & 0.812 & 0.6359 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Y;X2 & 0.5836 & 0.5826 & 0.4124 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Y;X3 & 0.6237 & 0.6051 & 0.4425 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Y;X4 & 0.5948 & 0.5623 & 0.4007 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Y;X5 & 0.7669 & 0.7523 & 0.5789 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
Y;X6 & 0.7689 & 0.7548 & 0.5796 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X1;X2 & 0.6753 & 0.6186 & 0.4602 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X1;X3 & 0.7571 & 0.7155 & 0.5201 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X1;X4 & 0.6879 & 0.6776 & 0.5009 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X1;X5 & 0.856 & 0.8405 & 0.6744 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X1;X6 & 0.853 & 0.8403 & 0.6732 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X2;X3 & 0.9036 & 0.8712 & 0.728 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X2;X4 & 0.622 & 0.479 & 0.3473 \tabularnewline
p-value & (0) & (6e-04) & (6e-04) \tabularnewline
X2;X5 & 0.6651 & 0.5766 & 0.4418 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X2;X6 & 0.6696 & 0.5716 & 0.4407 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X3;X4 & 0.6912 & 0.6171 & 0.4603 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X3;X5 & 0.722 & 0.6816 & 0.528 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X3;X6 & 0.7171 & 0.6747 & 0.5242 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X4;X5 & 0.8244 & 0.8103 & 0.6323 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X4;X6 & 0.8303 & 0.8114 & 0.6311 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
X5;X6 & 0.9977 & 0.9986 & 0.9844 \tabularnewline
p-value & (0) & (0) & (0) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160182&T=2

[TABLE]
[ROW][C]Correlations for all pairs of data series with p-values[/C][/ROW]
[ROW][C]pair[/C][C]Pearson r[/C][C]Spearman rho[/C][C]Kendall tau[/C][/ROW]
[ROW][C]Y;X1[/C][C]0.8118[/C][C]0.812[/C][C]0.6359[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Y;X2[/C][C]0.5836[/C][C]0.5826[/C][C]0.4124[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Y;X3[/C][C]0.6237[/C][C]0.6051[/C][C]0.4425[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Y;X4[/C][C]0.5948[/C][C]0.5623[/C][C]0.4007[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Y;X5[/C][C]0.7669[/C][C]0.7523[/C][C]0.5789[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]Y;X6[/C][C]0.7689[/C][C]0.7548[/C][C]0.5796[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X1;X2[/C][C]0.6753[/C][C]0.6186[/C][C]0.4602[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X1;X3[/C][C]0.7571[/C][C]0.7155[/C][C]0.5201[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X1;X4[/C][C]0.6879[/C][C]0.6776[/C][C]0.5009[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X1;X5[/C][C]0.856[/C][C]0.8405[/C][C]0.6744[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X1;X6[/C][C]0.853[/C][C]0.8403[/C][C]0.6732[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X2;X3[/C][C]0.9036[/C][C]0.8712[/C][C]0.728[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X2;X4[/C][C]0.622[/C][C]0.479[/C][C]0.3473[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](6e-04)[/C][C](6e-04)[/C][/ROW]
[ROW][C]X2;X5[/C][C]0.6651[/C][C]0.5766[/C][C]0.4418[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X2;X6[/C][C]0.6696[/C][C]0.5716[/C][C]0.4407[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X3;X4[/C][C]0.6912[/C][C]0.6171[/C][C]0.4603[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X3;X5[/C][C]0.722[/C][C]0.6816[/C][C]0.528[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X3;X6[/C][C]0.7171[/C][C]0.6747[/C][C]0.5242[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X4;X5[/C][C]0.8244[/C][C]0.8103[/C][C]0.6323[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X4;X6[/C][C]0.8303[/C][C]0.8114[/C][C]0.6311[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[ROW][C]X5;X6[/C][C]0.9977[/C][C]0.9986[/C][C]0.9844[/C][/ROW]
[ROW][C]p-value[/C][C](0)[/C][C](0)[/C][C](0)[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160182&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160182&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Correlations for all pairs of data series with p-values
pairPearson rSpearman rhoKendall tau
Y;X10.81180.8120.6359
p-value(0)(0)(0)
Y;X20.58360.58260.4124
p-value(0)(0)(0)
Y;X30.62370.60510.4425
p-value(0)(0)(0)
Y;X40.59480.56230.4007
p-value(0)(0)(0)
Y;X50.76690.75230.5789
p-value(0)(0)(0)
Y;X60.76890.75480.5796
p-value(0)(0)(0)
X1;X20.67530.61860.4602
p-value(0)(0)(0)
X1;X30.75710.71550.5201
p-value(0)(0)(0)
X1;X40.68790.67760.5009
p-value(0)(0)(0)
X1;X50.8560.84050.6744
p-value(0)(0)(0)
X1;X60.8530.84030.6732
p-value(0)(0)(0)
X2;X30.90360.87120.728
p-value(0)(0)(0)
X2;X40.6220.4790.3473
p-value(0)(6e-04)(6e-04)
X2;X50.66510.57660.4418
p-value(0)(0)(0)
X2;X60.66960.57160.4407
p-value(0)(0)(0)
X3;X40.69120.61710.4603
p-value(0)(0)(0)
X3;X50.7220.68160.528
p-value(0)(0)(0)
X3;X60.71710.67470.5242
p-value(0)(0)(0)
X4;X50.82440.81030.6323
p-value(0)(0)(0)
X4;X60.83030.81140.6311
p-value(0)(0)(0)
X5;X60.99770.99860.9844
p-value(0)(0)(0)



Parameters (Session):
par1 = kendall ;
Parameters (R input):
par1 = kendall ;
R code (references can be found in the software module):
panel.tau <- function(x, y, digits=2, prefix='', cex.cor)
{
usr <- par('usr'); on.exit(par(usr))
par(usr = c(0, 1, 0, 1))
rr <- cor.test(x, y, method=par1)
r <- round(rr$p.value,2)
txt <- format(c(r, 0.123456789), digits=digits)[1]
txt <- paste(prefix, txt, sep='')
if(missing(cex.cor)) cex <- 0.5/strwidth(txt)
text(0.5, 0.5, txt, cex = cex)
}
panel.hist <- function(x, ...)
{
usr <- par('usr'); on.exit(par(usr))
par(usr = c(usr[1:2], 0, 1.5) )
h <- hist(x, plot = FALSE)
breaks <- h$breaks; nB <- length(breaks)
y <- h$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
n <- length(y[,1])
n
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ',header=TRUE)
for (i in 1:n) {
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
}
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE)
for (j in 1:n) {
r <- cor.test(y[i,],y[j,],method=par1)
a<-table.element(a,round(r$estimate,3))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Correlations for all pairs of data series with p-values',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'pair',1,TRUE)
a<-table.element(a,'Pearson r',1,TRUE)
a<-table.element(a,'Spearman rho',1,TRUE)
a<-table.element(a,'Kendall tau',1,TRUE)
a<-table.row.end(a)
cor.test(y[1,],y[2,],method=par1)
for (i in 1:(n-1))
{
for (j in (i+1):n)
{
a<-table.row.start(a)
dum <- paste(dimnames(t(x))[[2]][i],';',dimnames(t(x))[[2]][j],sep='')
a<-table.element(a,dum,header=TRUE)
rp <- cor.test(y[i,],y[j,],method='pearson')
a<-table.element(a,round(rp$estimate,4))
rs <- cor.test(y[i,],y[j,],method='spearman')
a<-table.element(a,round(rs$estimate,4))
rk <- cor.test(y[i,],y[j,],method='kendall')
a<-table.element(a,round(rk$estimate,4))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=T)
a<-table.element(a,paste('(',round(rp$p.value,4),')',sep=''))
a<-table.element(a,paste('(',round(rs$p.value,4),')',sep=''))
a<-table.element(a,paste('(',round(rk$p.value,4),')',sep=''))
a<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable1.tab')